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Proof step 13 from proof okarray-put-okval-01 (previous step)

r0 -- j0 ' ≠ r -- i ', st[r0 -- _type] = typeval(mkarraytype(ty0)), st[r0 -- _length] = intval(j), j0 < j, r0 ∈ st, 0 ≤ j, r0 -- _length ∈ st, ty0 ≤ ty, r0 -- _type ∈ st, okval(val0, ty), is_arrayref(r0, j, st), 0 ≤ j0, 0 < j, r0 ≠ r ∨ j0 ≠ i, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty) ⊦ r0 = jvmref, okval(st[r0 -- j0 '], ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r0 -- _type] = typeval(mkarraytype(ty0)), st[r0 -- _length] = intval(j), j0 < j, r0 ∈ st, 0 ≤ j, r0 -- _length ∈ st, ty0 ≤ ty, r0 -- _type ∈ st, okval(val0, ty), is_arrayref(r0, j, st), 0 ≤ j0, 0 < j, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty), r0 ≠ r ∨ j0 ≠ i ⊦ r0 = jvmref, okval(st[r0 -- j0 '], ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]